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Power Sets, Implications and Set Inclusions Revisited – Retrospect and Prospect: A Review of Bandler and Kohout’s Paper and a Survey of 30 Years of Subsequent Developments

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Views on Fuzzy Sets and Systems from Different Perspectives

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 243))

Introduction

It is an interesting story to look at the development of new concepts in fuzzy set theory. One looks at the motivation, the first formulation and the subsequent development. In our case study we look at one of the early papers that interrelates the concept of fuzzy set inclusion, power set and many-valued implication operators, namely the paper of Bandler and Kohout [4]. This is followed by discussion of the subsequent related work by the fuzzy community.

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References

  1. Alaoui, A.: On fuzzification of some concepts of graphs. Fuzzy Sets and Systems 101(3), 363–389 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bandler, W.: Some esomathematical uses of category theory. In: Klir, G. (ed.) Applied General Systems Research: Recent Developments and Trends. NATO Conference Series II, vol. 5, pp. 243–255. Plenum Press, New York (1978)

    Google Scholar 

  3. Bandler, W., Kohout, L.: Mathematical Relations, their Products and Generalized Morphisms. Tech. report, Man-Machine Systems Laboratory, EES-MMS-REL 77-3, Dept. of Electrical Eng., University of Essex, Colchester, Essex, U.K. (1977)

    Google Scholar 

  4. Bandler, W., Kohout, L.: Fuzzy relational products and fuzzy implication operators. In: Fuzzy Research Project, number FRP1, Colchester, U.K., Dept. of Mathematics, University of Essex (1978); (Received, September 1978); Presented at the Workshop on Fuzzy Reasoning – Theory and Applications, Queen Mary College, London, September 15 (1978)

    Google Scholar 

  5. Bandler, W., Kohout, L.: Fuzzy relational products and fuzzy implication operators. In: Fuzzy Research Project, number FRP7, Colchester, U.K. Dept. of Mathematics, University of Essex (1978) (Received, September 1978)

    Google Scholar 

  6. Bandler, W., Kohout, L.: Fuzzy power sets and fuzzy implication operators. In: Fuzzy Research Project, number FRP8, Colchester, U.K. Dept. of Mathematics, University of Essex (1979) (Received, March 1979)

    Google Scholar 

  7. Bandler, W., Kohout, L.: Fuzzy relational products as a tool for analysis and synthesis of the behaviour of complex natural and artificial systems. In: Fuzzy Research Project, number FRP12, Colchester, U.K. Dept. of Mathematics, University of Essex (1979) (Received, November 1979)

    Google Scholar 

  8. Bandler, W., Kohout, L.: The use of new relational products in clinical modelling. In: Gaines, B. (ed.) General Systems Research: A Science, a Methodology, a Technology (Proc. 1979 North American Meeting of the Society for General Systems Research), Louisville, KY, January 1979, pp. 240–246. Society for General Systems Research (1979)

    Google Scholar 

  9. Bandler, W., Kohout, L.: The use of new relational products in clinical modelling. In: Fuzzy Research Project, number FRP4, Colchester, U.K. Dept. of Mathematics, University of Essex (1979) (Received, December 1978)

    Google Scholar 

  10. Bandler, W., Kohout, L.: Fuzzy power sets and fuzzy implication operators. Fuzzy Sets and Systems 4, 13–30 (1980); Reprinted in: D. Dubois, H. Prade and R. Yager (eds.). Readings in Fuzzy Sets for Intelligent Systems. Morgan Kaufmann Publishers, San Mateo, pp. 88–96 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  11. Bandler, W., Kohout, L.: Fuzzy relational products as a tool for analysis and synthesis of the behaviour of complex natural and artificial systems. In: Wang, P., Chang, S. (eds.) Fuzzy Sets: Theory and Applications to Policy Analysis and Information Systems, pp. 341–367. Plenum Press, New York (1980)

    Google Scholar 

  12. Bandler, W., Kohout, L.: Semantics of implication operators and fuzzy relational products. Internat. Journal of Man-Machine Studies 12, 89–116 (1980); reprinted in: Mamdani, E.H., Gaines, B.R. (eds.): Fuzzy Reasoning and its Applications, pp. 219–246. Academic Press, London (1981)

    Google Scholar 

  13. Bandler, W., Kohout, L.: Fast fuzzy relational algorithms. In: Fuzzy Research Project, number FRP19, Colchester, U.K. Dept. of Mathematics, University of Essex (1982) (Received, March 1982)

    Google Scholar 

  14. Bandler, W., Kohout, L.: Fast fuzzy relational algorithms. In: Ballester, A., Cardús, D., Trillas, E. (eds.) Proc. of the Second Internat. Conference on Mathematics at the Service of Man, Las Palmas, pp. 123–131 (1982); (Las Palmas, Canary Islands, Spain, 28 June - 3 July), Universidad Politechnica de las Palmas

    Google Scholar 

  15. Bandler, W., Kohout, L.: Mathematical relations. In: Fuzzy Research Project, number FRP23, Colchester, U.K., 1982. Dept. of Mathematics, University of Essex (Received, August 1982)

    Google Scholar 

  16. Bandler, W., Kohout, L.: Relations, mathematical. In: Singh, M. (ed.) Systems and Control Encyclopedia, pp. 4000–4008. Pergamon Press, Oxford (1987)

    Google Scholar 

  17. Bandler, W., Kohout, L.: Special properties, closures and interiors of crisp and fuzzy relations. Fuzzy Sets and Systems 26(3), 317–332 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  18. Bandler, W., Kohout, L.: Cuts commute with closures. In: Lowen, R., Roubens, M. (eds.) Proceedings of the 4th IFSA World Congress IFSA91 Brussels, Vol. Artificial Intelligence, International Fuzzy Systems Association (1991)

    Google Scholar 

  19. Bandler, W., Kohout, L.: Cuts commute with closures. In: Lowen, B., Roubens, M. (eds.) Fuzzy Logic: State of the Art, pp. 161–167. Kluwer Academic, Boston (1993)

    Google Scholar 

  20. Bandler, W., Kohout, L.: On the universality of the triangle superproduct and the square product of relations. Internat. Journal of General Systems 25(4), 399–403 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  21. Bandler, W., Mancini, V., Kohout, L.: Investigating the structures of knowledge and thought. In: Lasker, G. (ed.) Advances in Computer Science, Ontario, Canada. International Institute for Advanced Studies in Systems Research and Cybernetic (1989) ISBN 0-921856-03-1

    Google Scholar 

  22. Bandler, W., Mancini, V., Kohout, L., Hruska, S.: Average implication between sequences: some basic results. In: Proc. of the IEEE Internat. Conference on Fuzzy Systems 1993. IEEE, New York (1993)

    Google Scholar 

  23. Bělohlávek, R.: Similarity relations and BK-relational products. Information Sciences 126(1-2), 287–295 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  24. Bělohlávek, R.: Fuzzy Relational Systems: Foundations and Principles. Kluwer Academic/Plenum Press, New York (2002)

    MATH  Google Scholar 

  25. Biacino, L., Gerla, G.: Logics with approximate premises. Internat. J. of Intelligent Systems 13, 1–10 (1998)

    Article  MATH  Google Scholar 

  26. Bodenhofer, U.: Representations and constructions of similarity-based fuzzy orderings. Fuzzy Sets and Systems 137, 113–136 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  27. Bodenhofer, U., De Baets, B., Fodor, J.: A compendium of fuzzy weak orders: Representations and constructions. Fuzzy Sets and Systems 158(8), 811–829 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  28. Burillo, P., Frago, N., Fuentes, R.: Generation of fuzzy mathematical ontologies. Mathware & Soft Computing 8, 31–46 (2001)

    MathSciNet  MATH  Google Scholar 

  29. Bustince, H., Mohedano, V., Barrenechea, E., Pagola, M.: Definition and construction of fuzzy DI-subsethood measures. Information Sciences 176(21), 3190–3231 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  30. Cornelis, C., Van der Donck, C., Kerre, E.: Sinha-Dougherty approach to the fuzzication of set inclusion revisited. Fuzzy Sets and Systems 134, 283–295 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  31. Di Nola, A., Ventre, A.: On fuzzy implication in De Morgan Algebras. Fuzzy Sets and Systems 33(2), 155–164 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  32. Efstathiou, J.: Implication operators for fuzzy rule-based controllers. Journal of Fuzzy Logic and Intelligent Systems [ISSN:1225-1127] 3(1), 15–22 (1993); A special issue in: honor of Wyllis Bandler. Zadeh, L.A. Kohout, L.J. et al. (Guest eds.)

    Google Scholar 

  33. Esteva, F., Godo, L.: Monoidal t-norm based logic: Towards a logic for left-continuous t-norms. Fuzzy Sets and Systems 123(3), 271–288 (2001)

    Article  MathSciNet  Google Scholar 

  34. Fodor, J., Yager, R.: Fuzzy-set theoretic operators and quantifiers. In: Dubois, D., Prade, H. (eds.) Fundamentals of Fuzzy Sets. The Handbook of Fuzzy Sets Series, pp. 125–193. Kluwer Academic Publishers, Dordrecht (1999)

    Google Scholar 

  35. Gaines, B., Kohout, L.: The fuzzy decade: a bibliography of fuzzy systems and closely related topics. Internat. Journal of Man-Machine Studies 9, 1–68 (1977); Reprinted in Gupta, M.M., Saridis, G.N., Gaines, B.R. (eds.): Fuzzy Automata and Decision Processes, pp. 403–490. Elsevier, North-Holland, New York, Amsterdam (1988) (A critical survey with bibliography)

    Article  MATH  Google Scholar 

  36. Gerla, G.: Representation theorems for fuzzy orders and quasi-metrics. Soft Computing 8, 571–580 (2004)

    Article  MATH  Google Scholar 

  37. Gottwald, S.: A cummulative system of fuzzy sets. In: Lecture Notes in Mathematics, vol. 537, pp. 109–120. Springer, Berlin (Collection Set Theory and Hierarchy Theory: A Memorial Tribute to Andrzej Mostovski) (1976)

    Google Scholar 

  38. Gottwald, S.: Set theory for fuzzy sets of higer level. Fuzzy Sets and Systems

    Google Scholar 

  39. Hájek, P.: A remark on Bandler-Kohout products of relations. Internat. Journal of General Systems 25(2), 165–166 (1996)

    Article  MATH  Google Scholar 

  40. Hájek, P.: Metamathematics of Fuzzy Logics. Kluwer, Dordrecht (1998)

    Google Scholar 

  41. Höhle, U., Stout, L.: Foundations of fuzzy sets. Fuzzy Sets and Systems 40(2), 257–296 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  42. Juliano, B.: Cognitive sciences and computing with words. In: Paul, P.W. (ed.) Computing with Words, vol. 7, pp. 235–250. John Wiley, New York (2001)

    Google Scholar 

  43. Juliano, B., Bandler, W.: Modelling the approximation of expert knowledge structures. In: Leibowitz, J. (ed.) Proc. World Congress on Expert Systems, vol. 2, pp. 820–827. Pergamon Press, Elmsford (1991)

    Google Scholar 

  44. Juliano, B., Bandler, W.: Tracing Chains-of-Thought: Fuzzy Methods in Cognitive Diagnosis. Physica Verlag, Springer, Heidelberg (1996)

    MATH  Google Scholar 

  45. Kim, E., Kohout, L.: Generalized morphisms, a new tool for comparative evaluation of performance of fuzzy implications, t-norms and co-norms in relational knowledge elicitation. Fuzzy Sets and Systems 117, 297–315 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  46. Kiszka, J., Kochanska, M., Sliwinska, D.: The influence of some fuzzy implication opertors on the accuracy of a fuzzy model - Part i. Fuzzy Sets and Systems 15(2), 111–128 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  47. Kitainik, L.: Fuzzy inclusions and fuzzy dichotomous decision procedures. In: Kacprzyk, J., Orlovski, S. (eds.) Optimization Models Using Fuzzy Sets and Possibility Theory, pp. 154–170. Reidel, Dordrecht (1987)

    Google Scholar 

  48. Kitainik, L.: Fuzzy Decision Procedures With Binary Relations. Kluwer, Dordrecht (1993)

    MATH  Google Scholar 

  49. Klaua, D.: Über einen Ansatz zur mehrwertigen Mengenlehre. Monatsb. Deutsch. Akad. Wiss. (Berlin) 7, 859–867 (1965)

    MathSciNet  MATH  Google Scholar 

  50. Klaua, D.: Einbettung der klassischen Mengenlehre in die mehrwertige. Monatsb. Deutsch. Akad. Wiss (Berlin) 9, 258–272 (1967)

    MathSciNet  MATH  Google Scholar 

  51. Kohout, L.: Representation of functional hierarchies of movement in the brain. Internat. Journal of Man-Machine Studies 8, 699–709 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  52. Kohout, L.: The functional hierarchies of the brain. In: Klir, G. (ed.) Applied General Systems Research: Recent Developments and Trends, pp. 531–544. Plenum Press, New York (1978); An invited paper at the 1977 NATO Symposium on General Systems Research, section: Advances of GS Research in Biological Sciences

    Google Scholar 

  53. Kohout, L.: On functional structures of behaviour. In: Kohout, L., Bandler, W. (eds.) Knowledge Representation in Medicine and Clinical Behavioural Science, ch. 7, pp. 69–94. Gordon and Breach Publ., London (1986)

    Google Scholar 

  54. Kohout, L.: Activity structures as a tool for design of technological artifacts. Systems and Cybernetics: An International Journal 18(1), 27–34 (1987)

    Article  MathSciNet  Google Scholar 

  55. Kohout, L.: Generalized morphisms in BL-logics. In: Logic Colloquium 1998 (The 1998 ASL European Summer Meeting, Prague), August 9-15 (1998); (Extended abstract presenting the main mathematical theorems published the Bulletin of ASL No. 1, pp. 116–117 (March 1999))

    Google Scholar 

  56. Kohout, L.: Theory and applications of non-associative products of relations. In: Childers, T. (ed.) The Logica Yearbook 1997, vol. 16, pp. 152–164. Filosofia (Publisher of the Institute of Philosophy, Czech Academy of Sciences), Prague (1998)

    Google Scholar 

  57. Kohout, L.: Boolean and fuzzy relations. In: Pardalos, P., Floudas, C. (eds.) The Encyclopedia of Optimization, vol. I, A-D, pp. 189–202. Kluwer, Boston (2001)

    Chapter  Google Scholar 

  58. Kohout, L.: Critical review of the book FUZZY RELATIONAL SYSTEMS: Foundations and Principles. Internat. J. of General Systems 32(3), 291–298 (2003)

    Google Scholar 

  59. Kohout, L.: Defining homomorphisms and other generalized morphisms of fuzzy relations in monoidal fuzzy logics by means of bk-products. In: Wang, P. (ed.) Joint Conference on Information Sciences – JCIS 2003, Research Triangle Park, N.C (September 2003); Association for Intelligent Machinery, http://arxiv.org/abs/math/0310175v1 (cite as: aeXiv:math/0310175v1 [math.LO])

  60. Kohout, L.: Theory of fuzzy generalized morphisms and relational inequalities. Internat. J. of General Systems 33(4), 339–360 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  61. Kohout, L., Kim, E.: Semiotic descriptors in fuzzy relational computations. In: Albus, J., Meystel, A. (eds.) Proc. of IEEE Internat. Symp. on Intelligent Control, IEEE Internat. Symp. on Computational Intelligence in Robotics and Automation & Intelligent Systems and Semiotic (A joint conf. on the Science and Technology of Intelligent Systems, September 14-17, 1998, pp. 828–833. IEEE & NIST, IEEE, Piscataway (1998)

    Google Scholar 

  62. Kohout, L., Kim, E.: The role of BK–products of relations in soft computing. Soft Computing 6(2), 87–91 (2002)

    Article  Google Scholar 

  63. Kohout, L., Kim, E.: Characterization of interval fuzzy logic systems of connectives by group transformations. Reliable Computing 10, 299–334 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  64. Kohout, L., Kim, E.: Non-commutative fuzzy interval logics with approximation semantics based on the checklist paradigm and their group transformations. In: Proc. of FUZZ-IEEE 2005, Piscataway, NJ, May 2005, IEEE Neural Network Council. IEEE, Los Alamitos (2005) CD-ROM

    Google Scholar 

  65. Kohout, L., Kim, E., Zenz, G.: Fuzzy relational modeling of cost and affordability for advanced technology manufacturing environment. In: Proc. of 1999 NSF Design and Manufacturing Grantees Conference, Washington DC January 1999; National Science Foundation. CD-ROM, http://arxiv.org/pdf/cs.CE/0310021.pdf (cite as: eprint arXiv:cs/0310021) (1999)

  66. Kohout, L.J., Bandler, W.: Interval-valued systems for approximate reasoning based on the checklist paradigm. In: Wang, P., Paul (eds.) Advances in Fuzzy Theory and Technology, vol. 1, pp. 167–193. Bookwrights Press, Durham (1993)

    Google Scholar 

  67. Kosko, B.: Fuzzy entropy and conditioning. Information Sciences 40(2), 165–174 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  68. Kosko, B.: Neural Networks and Fuzzy Systems. Prentice-Hall, Englewood Cliffs (1992)

    MATH  Google Scholar 

  69. Lee, Y.-i., Kim, Y.-G.: Comparison of fuzzy implication operators by means of fuzzy relational products used for intelligent local path-planning of AUVs. In: Soft Computing, Publisher’s pre-publication electronic version: Soft. Comput. Springer, Heidelberg (2008)

    Google Scholar 

  70. Mancini, V., Bandler, W.: A database theory of truth. Fuzzy Sets and Systems 25(3), 369–379 (1988)

    Article  MathSciNet  Google Scholar 

  71. Pultr, A.: Fuzzy mappings and fuzzy sets. Comment. Math. Univ. Carolinae 17(3), 441–459 (1976)

    MathSciNet  MATH  Google Scholar 

  72. Rescher, N.: Many-Valued Logic. McGraw-Hill, New York (1969)

    MATH  Google Scholar 

  73. Sinha, D., Dougherty, E.: Fuzzification of set inclusion: Theory and applications. Fuzzy Sets and Systems 55, 15–42 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  74. Stout, L.: Topoi and categories of fuzzy sets. Fuzzy Sets and Systems 12(2), 169–184 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  75. Takeuti, G., Titani, S.: Intuitionistic fuzzy logic and intuitionistic fuzzy set theory. Journal of Symbolic Logic 49(3), 851–866 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  76. Tong, R.: A retrospective view of fuzzy control systems. Fuzzy Sets and Systems 14, 199–210 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  77. von Eckardt, B.: What is Cognitive Science? MIT Press, Cambridge (1993)

    Google Scholar 

  78. Wang, X., De Baets, B., Kerre, E.: A comparative study of similarity measures. Fuzzy Sets and Systems 73(2), 259–268 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  79. Weber, S.: A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms. Fuzzy Sets and Systems 11(2), 115–134 (1983)

    MathSciNet  MATH  Google Scholar 

  80. Willmott, R.: Two fuzzier implication operators in the theory of fuzzy power sets operators. In: Fuzzy Research Project, number FRP2, Colchester, U.K. Dept. of Mathematics, University of Essex (1978) (Received, December 1978)

    Google Scholar 

  81. Willmott, R.: Mean measures of containment and equality between fuzzy sets. In: Fuzzy Research Project, number FRP6, Colchester, U.K. Dept. of Mathematics, University of Essex (1979) (Received, July 1979).

    Google Scholar 

  82. Willmott, R.: Two fuzzier implication operators in the theory of fuzzy power sets. Fuzzy Sets and Systems 4(1), 31–36 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  83. Wong, C.: Fuzzy topology. In: Zadeh, L.A., Fu, K.S., Tanaka, K., Shimura, M. (eds.) Fuzzy Sets and Their Applications to Cognitive and Decision Processes, pp. 171–190. Academic Press, New York (1975)

    Google Scholar 

  84. Wygaralak, M.: Fuzzy cardinals based on generalized eqality of fuzzy subsets. Fuzzy Sets and Systems 18(2), 143–158 (1986)

    Article  MathSciNet  Google Scholar 

  85. Xiao, W., Weidemann, B.: Fuzzy modelling and its application to magnetic bearing systems. Fuzzy Sets and Systems 73(2), 201–217 (1995)

    Article  MathSciNet  Google Scholar 

  86. Yager, R.: Veristic variables. IEEE Trans. on Systems, Man and Cybernetics, Part B: Cybernetics 30(1), 71–84 (2000)

    Article  Google Scholar 

  87. Yager, R.: Querying databases containing multivalued attributes using veristic variables. Fuzzy Sets and Systems 129(2), 163–185 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  88. Yager, R., Petry, F.: A multicriteria approach to data summarization using concept ontologies. IEEE Trans. on Fuzzy Systems 14(6), 767–780 (2006)

    Article  Google Scholar 

  89. Xu, Y., Ruan, D., Qin, K., Liu, J.: Lattic-Valued Logic. Springer, Berlin (2003)

    Google Scholar 

  90. Young, V.: Fuzzy subsethood. Fuzzy Sets and Systems 77(3), 371–384 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  91. Zadeh, L.: An outline of a new approach to the analysys of complex systems and decision processes. In: Cochrane, J., Zelený, M. (eds.) Multiple Criteria Decision Making, pp. 686–725. University of South Carolina Press, Columbia (1973)

    Google Scholar 

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Kohout, L.J. (2009). Power Sets, Implications and Set Inclusions Revisited – Retrospect and Prospect: A Review of Bandler and Kohout’s Paper and a Survey of 30 Years of Subsequent Developments. In: Seising, R. (eds) Views on Fuzzy Sets and Systems from Different Perspectives. Studies in Fuzziness and Soft Computing, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93802-6_7

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